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Some new minimax theorems for generalized convexity (2406.16290v3)
Published 24 Jun 2024 in math.FA
Abstract: The aim of this article is to establish new two-functions minimax inequalities extending classical results such as Simons' minimax theorem. Our results will be proved in a non-compact setting. We also prove, under general conditions, that the one-function minimax equality is in fact equivalent to the well known Simons inequality. Some applications will be given.
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